Answer:
Your answer would be 
.
Step-by-step explanation:
The formula for the equation of a circle is 
, where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is 
. Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get 
, so the radius is 
. But, we want the radius squared, which is 34. So, the final answer is what I wrote above.
Hope that helped! :)
Answer:
y = 1/2x - 2
Step-by-step explanation:
In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.
Example of an opposite reciprocal slope: -2 ⇒ 1/2
Insert the information into the point-slope formula:
Answer:
$740.00
Step-by-step explanation:
85% of x is 629
Translate into algebra. Use a decimal in place of the percent:
.85x = 629
Divide by .85
x = 740
This answer makes sense because the regular price should be a little higher than the sale price. If they are paying 85% they're only getting 15% off.
Check:
740×.85 = 629
Answer:
27.
Step-by-step explanation:
It is one property of exponents that for any numbers <em>a, b,</em> and c
Therefore, using this property the expression 
becomes
.
and when when simplify the exponents, we get:
.
Since for any number 
<em>( </em>
<em> in the exponent means the square root) , </em>
is rewritten as
which simplifies to
Thus,
